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Method of averaging for systems with main part vanishing at infinity

✍ Scribed by Pavel Nesterov

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
176 KB
Volume
284
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We study the possibility of using Krylov‐Bogolyubov averaging to find solutions of some class of differential equations that tend to constant vectors as t β†’ ∞. We also construct the asymptotics of solutions of nonautonomous Van der Pol equation as t β†’ ∞.

πŸ“œ SIMILAR VOLUMES

Method of averaging for systems with mai
Method of averaging for systems with main part vanishing at infinity
✍ Pavel Nesterov πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 186 KB

We study the possibility of using Krylov-Bogolyubov averaging to find solutions of some class of differential equations that tend to constant vectors as t β†’ ∞. We also construct the asymptotics of solutions of nonautonomous Van der Pol equation as t β†’ ∞.

An averaging method for singularly pertu
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✍ Mikhail Kamenskii; Paolo Nistri πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 159 KB

We consider a system of two semilinear parabolic inclusions depending on a small parameter ΒΏ 0 which is present both in front of the derivative in one of the two inclusions and in the nonlinear terms to model high-frequency inputs. The aim is to provide conditions in order to guarantee, for ΒΏ 0 su